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Finding the Fourth Proportional to 2,599.95, 3,899.94 and 868.57

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Solution

The fourth proportional to 2,599.95, 3,899.94 and 868.57 is: 1,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.95 : 3,899.94 = 868.57 : x
  2. Step 2: Convert to fraction form
    2,599.95/3,899.94 = 868.57/x
  3. Step 3: Cross multiply
    2,599.95x = 3,899.94 × 868.57
  4. Step 4: Simplify right side
    2,599.95x = 3,387,370.89
  5. Step 5: Solve for x
    x = 3,387,370.89/2,599.95
  6. Step 6: Final answer
    x = 1,302.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.